Phase anholonomy in dissipative optical systems with periodic oscillations

C. Z. Ning, H. Haken

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We show that some lasers and nonlinear optical devices with dissipation have in common certain characteristics that lead to a kind of phase anholonomy when such dissipative systems undergo a periodic motion with some frequency, say. The amount of the phase anholonomy accumulated in a period of 2/ is defined generally for such systems and further calculated for a subclass of such systems near the Hopf-bifurcation point. It turns out that the phase accumulation is generally determined by the size of the periodic orbit. By constructing a simple Hamiltonian, we show precisely that the phase anholonomy in these dissipative sytems can indeed be interpreted as Berrys phase.

Original languageEnglish (US)
Pages (from-to)6410-6413
Number of pages4
JournalPhysical Review A
Issue number11
StatePublished - Jan 1 1991
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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